The definition of the crime of aggression in Article 8 bis of the Rome Statute of the International Criminal Court (Rome Statute) stipulates that a State act of aggression is a material element of the crime, suggesting an intrinsic link between individual criminal responsibility and State responsibility for aggression. This article argues that the Rome Statute provides a legal basis for the International Criminal Court (ICC) to determine State responsibility for aggression when considering the material elements of the crime of aggression, which has important practical and conceptual implications for the law of international responsibility. Although the content of State responsibility flows automatically from the breach of the obligation, it is argued that a finding of aggression pursuant to Article 8 bis of the Rome Statute may be considered as a form of satisfaction for the purposes of Article 37 of the 2001 ILC Articles on Responsibility of States for Internationally Wrongful Acts (2001 ILC Articles). Furthermore, the material element of the crime in Article 8 bis of the Rome Statute requires the act of aggression by its character, gravity, and scale to constitute a manifest violation of the Charter of the United Nations, in line with the nomenclature used within the 2001 ILC Articles regarding serious breaches of obligations arising from peremptory norms of general international law (jus cogens). The article considers the important role that the ICC may play in relation to serious breaches of the jus cogens obligation to refrain from an act of aggression.